The temperature is −18.2 Celsius in South Dakota and -9.7 Celsius Minnesota. Which one of the following inequalities correctly c
ompares the temperatures? Choose 1 answer: Which one of the following descriptions is correct?
2 answers:
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Answer:
a. The initial amount of money that was left in this savings account was of 5000.
b. Decrease of 2% each year.
Step-by-step explanation:
Exponential function:
An exponential function, with an initial value of A(0), and a decay rate of r, as a decimal, is given by:
In this question, we have:
a. What was the initial amount of money that was left in this savings account?
This is y(0) = 5000
The initial amount of money that was left in this savings account was of 5000.
b. What is the percent of change each year in this savings account?
First as a decimal.
1 - r = 0.98
r = 1 - 0.98
r = 0.02
So a decrease of 2% each year.
Answer:
Cos x = 1 - +
-
+ ...
Step-by-step explanation:
We use Taylor series expansion to answer this question.
We have to find the expansion of cos x at x = 0
f(x) = cos x, f'(x) = -sin x, f''(x) = -cos x, f'''(x) = sin x, f''''(x) = cos x
Now we evaluate them at x = 0.
f(0) = 1, f'(0) = 0, f''(0) = -1, f'''(0) = 0, f''''(0) = 1
Now, by Taylor series expansion we have
f(x) = f(a) + f'(a)(x-a) + +
+
+ ...
Putting a = 0 and all the values from above in the expansion, we get,
Cos x = 1 - +
-
+ ...
Base-ten units are used to represent numbers in blocks
<h3>How to represent the bundle of toothpicks</h3>The bundle is given as:
Bundle = 62
Rewrite as:
Bundle = 60 + 2
Express 60 as a product
Bundle = 6 * 10 + 2
See attachment for the drawing that represents the bundle
<h3>Ways to interpret the 6 in 62</h3>
The 6 in 62 can be interpreted in the following ways
- Way 1: 6 tens
- Way 2: 60
Read more about base-ten units at:
